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Simplifying -4(x + 3) = 8x + -5 + 3(2x + 1) Reorder the terms: -4(3 + x) = 8x + -5 + 3(2x + 1) (3 * -4 + x * -4) = 8x + -5 + 3(2x + 1) (-12 + -4x) = 8x + -5 + 3(2x + 1) Reorder the terms: -12 + -4x = 8x + -5 + 3(1 + 2x) -12 + -4x = 8x + -5 + (1 * 3 + 2x * 3) -12 + -4x = 8x + -5 + (3 + 6x) Reorder the terms: -12 + -4x = -5 + 3 + 8x + 6x Combine like terms: -5 + 3 = -2 -12 + -4x = -2 + 8x + 6x Combine like terms: 8x + 6x = 14x -12 + -4x = -2 + 14x Solving -12 + -4x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + -4x + -14x = -2 + 14x + -14x Combine like terms: -4x + -14x = -18x -12 + -18x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -18x = -2 + 0 -12 + -18x = -2 Add '12' to each side of the equation. -12 + 12 + -18x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = -2 + 12 -18x = -2 + 12 Combine like terms: -2 + 12 = 10 -18x = 10 Divide each side by '-18'. x = -0.5555555556 Simplifying x = -0.5555555556
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